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Notes on Mitsui's Prime Number Theorem with Siegel zeros

Kai, Wataru
arXiv (All) · Papers
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number-theory
In these notes, we refine Mitsui's Prime Number Theorem from 1957, which for a number field $K$ predicts the number of prime elements in a bounded convex set in $K \otimes _{\mathbf Q} \mathbf R $ and in a specified congruence class modulo an ideal $\mathfrak q $, by incorporating potential Siegel z
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